480633804 has 96 divisors (see below), whose sum is σ = 1499097600. Its totient is φ = 130092480.

The previous prime is 480633799. The next prime is 480633821. The reversal of 480633804 is 408336084.

It is a super-3 number, since 3×480633804³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2367 + ... + 31094.

It is an arithmetic number, because the mean of its divisors is an integer number (15615600).

Almost surely, 2^480633804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480633804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749548800).

480633804 is an abundant number, since it is smaller than the sum of its proper divisors (1018463796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480633804 is a wasteful number, since it uses less digits than its factorization.

480633804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33500 (or 33492 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 480633804 is about 21923.3620596842. The cubic root of 480633804 is about 783.3179959373.

Adding to 480633804 its reverse (408336084), we get a palindrome (888969888).

The spelling of 480633804 in words is "four hundred eighty million, six hundred thirty-three thousand, eight hundred four".